This result is actually consistent with Weinberg's soft-photon theorem [1]}. To see this let us first write the soft-photon theorem, say for an outgoing soft photon, as [2]}, [3]},
\({\begin{array}{c}{\lbrace \omega _i,x_i,q_i,out\rbrace } S^{out}_a(x){\lbrace \omega _j,x_j,q_j,in\rbrace } \\= \gamma \bigg ( \sum _{i\in out} q_i \frac{2 (x-x_i)_a}{(x-x_i)^2} - \sum _{j\in in} q_j \frac{2 (x-x_j)_a}{(x-x_j)^2} \bigg ) {\lbrace \omega _i,x_i,q_i,out\rbrace }{\lbrace \omega _j,x_j,q_j,in\rbrace }\end{array}}\) 
